Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is , then the proportion of their area is .
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:
Take positive square root as length cannot be negative:
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A function is continuous at a point if and only if:
So, we have the piecewise function:
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
Since we're coming from the left, we'll use the first equation. Thus:
Direct substitution:
Simplify:
Subtract and divide:
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right <em>must</em> also be equal to 0.
Therefore:
Direct substitution:
Subtract 1 from both sides:
Divide both sides by -9:
Therefore, the value of k is 1/9.
So, our equation in the end is:
Answer:
15 feet
Step-by-step explanation:
do 8/5=1.6, 24/1.6=15